TSTP Solution File: SYN638-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN638-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 12:02:13 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   11 (   8 unt;   0 nHn;   7 RR)
%            Number of literals    :   17 (   0 equ;   8 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p4_4,negated_conjecture,
    p4(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_4) ).

cnf(p4_12,negated_conjecture,
    ( p4(f16(X),f16(Y))
    | ~ p4(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_12) ).

cnf(p22_28,negated_conjecture,
    ( p22(X,Y)
    | ~ p4(Z,X)
    | ~ p4(U,Y)
    | ~ p22(Z,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_28) ).

cnf(p4_32,negated_conjecture,
    ( p4(f17(X,Y),f17(Z,U))
    | ~ p4(X,Z)
    | ~ p4(Y,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_32) ).

cnf(p4_39,negated_conjecture,
    p4(f5(f8(f11(c25),f9(f10(c25),c28)),X,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X,c29)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_39) ).

cnf(p22_40,negated_conjecture,
    p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_40) ).

cnf(not_p22_41,negated_conjecture,
    ~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p22_41) ).

cnf(48,plain,
    p4(f17(X,f5(f8(f11(c25),f9(f10(c25),c28)),Y,c27)),f17(X,f5(f8(f11(c25),f9(f10(c25),c28)),Y,c29))),
    inference('HYPERRESOLVE',[status(thm)],[p4_32,p4_39,p4_4]) ).

cnf(51,plain,
    ~ p4(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29)))),
    inference('UR-RESOLVE',[status(thm)],[p22_28,not_p22_41,p4_4,p22_40]) ).

cnf(95,plain,
    p4(f16(f17(X,f5(f8(f11(c25),f9(f10(c25),c28)),Y,c27))),f16(f17(X,f5(f8(f11(c25),f9(f10(c25),c28)),Y,c29)))),
    inference('HYPERRESOLVE',[status(thm)],[p4_12,48]) ).

cnf(96,plain,
    $false,
    inference('REWRITE',[status(thm)],[51,95]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN638-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul 12 01:22:00 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T01:22:00
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-12T01:22:00
% 0.19/0.53  
% 0.19/0.53  
% 0.19/0.53  #||
% 0.19/0.53  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53  % SZS output start Refutation
% See solution above
% 0.19/0.53  ||#
% 0.19/0.53  
% 0.19/0.53  ; Summary of computation:
% 0.19/0.53  ;       294 formulas have been input or derived (from 53 formulas).
% 0.19/0.53  ;        96 (33%) were retained.  Of these,
% 0.19/0.53  ;            1 ( 1%) were simplified or subsumed later,
% 0.19/0.53  ;           95 (99%) are still being kept.
% 0.19/0.53  ; 
% 0.19/0.53  ; Run time in seconds excluding printing time:
% 0.19/0.53  ;     0.008  12%   Read assertion file          (1 call)
% 0.19/0.53  ;     0.002   3%   Assert                       (41 calls)
% 0.19/0.53  ;     0.012  18%   Process new row              (226 calls)
% 0.19/0.53  ;     0.007  11%   Resolution                   (104 calls)
% 0.19/0.53  ;     0.001   2%   Paramodulation               (52 calls)
% 0.19/0.53  ;     0.000   0%   Condensing                   (27 calls)
% 0.19/0.53  ;     0.000   0%   Forward subsumption          (27 calls)
% 0.19/0.53  ;     0.002   3%   Backward subsumption         (27 calls)
% 0.19/0.53  ;     0.000   0%   Clause clause subsumption    (5 calls)
% 0.19/0.53  ;     0.005   8%   Forward simplification       (226 calls)
% 0.19/0.53  ;     0.004   6%   Backward simplification      (96 calls)
% 0.19/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.53  ;     0.025  38%   Other
% 0.19/0.53  ;     0.066        Total
% 0.19/0.53  ;     0.069        Real time
% 0.19/0.53  ; 
% 0.19/0.53  ; Term-hash-array has 242 terms in all.
% 0.19/0.53  ; Feature-vector-row-index has 27 entries (27 at peak, 27 added, 0 deleted).
% 0.19/0.53  ; Feature-vector-row-index has 91 nodes (91 at peak, 91 added, 0 deleted).
% 0.19/0.53  ;  Retrieved 3 possibly forward subsuming rows in 27 calls.
% 0.19/0.53  ;  Retrieved 2 possibly backward subsumed rows in 27 calls.
% 0.19/0.53  ; Path-index has 247 entries (248 at peak, 248 added, 1 deleted).
% 0.19/0.53  ; Path-index has 1,110 nodes (1,114 at peak, 1,114 added, 4 deleted).
% 0.19/0.53  ; Trie-index has 247 entries (248 at peak, 248 added, 1 deleted).
% 0.19/0.53  ; Trie-index has 1,884 nodes (1,908 at peak, 1,908 added, 24 deleted).
% 0.19/0.53  ; Retrieved 294 generalization terms in 252 calls.
% 0.19/0.53  ; Retrieved 69 instance terms in 68 calls.
% 0.19/0.53  ; Retrieved 3,699 unifiable terms in 872 calls.
% 0.19/0.53  ; 
% 0.19/0.53  ; The agenda of rows to process has 33 entries:
% 0.19/0.53  ;     4 with value 38              8 with value 56               4 with value 59
% 0.19/0.53  ;     1 with value 40              4 with value 58               8 with value 60
% 0.19/0.53  ;     4 with value 51
% 0.19/0.53  ; The agenda of rows to give has 42 entries:
% 0.19/0.53  ;     2 with value (4 33)          1 with value (4 39)           5 with value (4 56)
% 0.19/0.53  ;     2 with value (4 34)          1 with value (4 40)           3 with value (4 57)
% 0.19/0.53  ;     2 with value (4 35)          1 with value (4 50)           2 with value (4 58)
% 0.19/0.53  ;     4 with value (4 36)          3 with value (4 51)           2 with value (4 59)
% 0.19/0.53  ;     2 with value (4 37)          4 with value (4 54)           1 with value (4 60)
% 0.19/0.53  ;     3 with value (4 38)          4 with value (4 55)
% 0.19/0.53  Evaluation took:
% 0.19/0.53    0.069 seconds of real time
% 0.19/0.53    0.060144 seconds of user run time
% 0.19/0.53    0.008898 seconds of system run time
% 0.19/0.53    0 calls to %EVAL
% 0.19/0.53    0 page faults and
% 0.19/0.53    4,241,560 bytes consed.
% 0.19/0.53  :PROOF-FOUND
% 0.19/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T01:22:00
% 0.19/0.53  :PROOF-FOUND
% 0.19/0.53  * 
%------------------------------------------------------------------------------